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"SHANNON, C.E.
Probability Error for Optimal Codes in a Gaussian Channel.
(New York), American Telephone and Telegraph Compagny, 1959. 8vo. In the original blue printed wrappers. In ""The Bell System Technical Journal"", Volume 38, Number 3, pp. Light miscolouring to spine, otherwise a very fine, clean and fresh copy. Pp. 611-656. [Entire volume: Pp. 611-907].
Reference : 47541
First printing of Shannon's important 1959-paper in which he showed that an optimal code is built by uniformly placing codewords on an n-dimensional sphere. An upper and a lower bound for the word error rate performance Pew of such a spherical code have been established by Shannon on anAWGN channel for finite n.""A study is made of coding and decoding systems for a continous channel with an additive gaussian noise and subject to an average power limitation at the transmitter. Upper and lower bounds are found for the error probability in decoding with optimal codes and decoding systems. These bounds are close together for signaling rates near channel capacity and also for signaling rates near zero, but diverge in between. Curves exhibiting these bounds are given."" (Shannon p. 611).Hook & Norman: 898.
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2 book(s) with the same title
Probability Error for Optimal Codes in a Gaussian Channel.
(New York), American Telephone and Telegraph Compagny, 1959. Orig. printed wrappers. A stamp on frontwrapper and first leaf. ""The Bell System Technical Journal"", Volume 38, Number 3, pp. 611-907. The Shannon paper: pp. 611-656.
First edition. ""A study is made of coding and decoding systems for a continous channel with an additive gaussian noise and subject to an average power limitation at the transmitter. Upper and lower bounds are found for the error probability in decoding with optimal codes and decoding systems. These bounds are close together for signaling rates near channel capacity and also for signaling rates near zero, but diverge in between. Curves exhibiting these bounds are given."" (Shannon p. 611). - Hook & Norman: 898.
Probability of Error for Optimal Codes in a Gaussian Channel. [Manuscript received October 17, 1958].
New York, American Telephone and Telegraph Company, 1959. 8vo. Volume XXXVIII, 1959 of The Bell System Technical Journal bound in a nice full green cloth with gilt title to spine. Library stamp to top of title page. Binding tight, clean and fresh. Also internally very nice and clean. Pp. 611-656. [Entire volume: 14, (2), 907 pp.]
First edition.From the introduction to the present article: ""A study is made of coding and decoding systems for a continuous channel with an additive Gaussian noise and subject to an average power limitation at the transmitter. Upper and lower bounds are found for the error probability in decoding with optimal codes and decoding systems. These bounds are close together for signaling rates near channel capacity and also for signaling rates near zero, but diverge between. Curves exhibiting these bounds are given."" Claude Shannon is widely regarded as being the father of information theory and cryptography.See:OOC 898.
